Question
The base of a triangle is 4 less than three times the height. The area of the triangle is 38 square cm. A=b × h2
An expression for the base of the triangle:. Response area
Equation for the area of the triangle: Response area
The first step in solving for h:
An expression for the base of the triangle:. Response area
Equation for the area of the triangle: Response area
The first step in solving for h:
Answers
Answer
could you make it simplier
Answered by
GPT 3.5
Let's denote the height of the triangle as h.
According to the problem, the base of the triangle is 4 less than three times the height, so we can express the base as:
Base = 3h - 4
The equation for the area of a triangle is given as A = 1/2 * base * height. Since we have the area (A) as 38 square cm, we can substitute the values:
38 = 1/2 * (3h - 4) * h
The first step in solving for h would be to distribute the 1/2 to the terms in the brackets:
38 = 1/2 * 3h * h - 1/2 * 4 * h
Simplifying further,
38 = 3/2 * h^2 - 2h
Now, we need to solve this quadratic equation to find the value of h.
According to the problem, the base of the triangle is 4 less than three times the height, so we can express the base as:
Base = 3h - 4
The equation for the area of a triangle is given as A = 1/2 * base * height. Since we have the area (A) as 38 square cm, we can substitute the values:
38 = 1/2 * (3h - 4) * h
The first step in solving for h would be to distribute the 1/2 to the terms in the brackets:
38 = 1/2 * 3h * h - 1/2 * 4 * h
Simplifying further,
38 = 3/2 * h^2 - 2h
Now, we need to solve this quadratic equation to find the value of h.
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